You could also have a look at Microsoft's scripting games. There are problems set at beginner and advanced level. I've only looked at the advanced problems, and even they are pretty easy.

But, please don't take any notice of their sample Perl solutions. They're just awful :-(

A long time ago, when I was first starting to program, I bought a book called (something like) 101 programming problems, and that's all it was -- problems without any solutions (so no cheating!). That helped me immensely.

Do you have a library near-by? That was another resource that I used extensively when I started out.